{
  "annotation_id": "e198876b-1a6f-413a-b6f6-e52f0d4f5fd8",
  "date_created": "2026-03-02T18:00:01.189000Z",
  "date_modified": "2026-03-02T18:00:01.189000Z",
  "file_hash": "618bd14ce0d28d90a896bb5cebdebd7f8bedcb24bc0f6ef20c5349fe135d8ba0",
  "private": false,
  "record": {
    "abstract": "The shell model in the complex k-plane (the so-called Gamow Shell Model) has\nrecently been formulated and applied to structure of weakly bound, neutron-rich\nnuclei. The completeness relations of Newton and Berggren, which apply to the\nneutron case, are strictly valid for finite-range potentials. However, for\nlong-range potentials, such as the Coulomb potential for protons, for which the\narguments based on the Mittag-Leffler theory do not hold, the completeness\nstill needs to be demonstrated. This has been done in this paper, both\nanalytically and numerically. The generalized Berggren relations are then used\nin the first Gamow Shell Model study of nuclei having both valence neutrons and\nprotons, namely the lithium chain. The single-particle basis used is that of\nthe Hartree-Fock-inspired potential generated by a finite-range residual\ninteraction. The effect of isospin mixing in excited unbound states is\ndiscussed.",
    "arxiv_id": "nucl-th/0407110",
    "authors": [
      "N. Michel",
      "W. Nazarewicz",
      "M. Ploszajczak"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.70.064313",
    "journal_ref": "Phys.Rev. C70 (2004) 064313",
    "title": "Proton-Neutron Coupling in the Gamow Shell Model: the Lithium Chain",
    "url": "https://arxiv.org/abs/nucl-th/0407110"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "79050bdf-9167-4f33-b076-52c4c97c0b6e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}